randRange( 1, 3 ) randRange( 2, 4 ) randRange(2, 3) A * M B * M binop( 1 )

What number could replace SYMBOL below?

\dfrac{A}{B} = \dfrac{SYMBOL}{D}

C

The fraction on the left represents A out of B slices of a rectangular pizza( 1 ).

init({ range: [ [0, 1], [0, 1] ], scale: [180, 25] }); rectchart( [A, B - A], ["#e00", "#999"] );

What if we cut the pizza( 1 ) into D slices instead? How many slices would result in the same amount of pizza( 1 )?

init({ range: [ [0, 1], [0, 1] ], scale: [180, 25] }); rectchart( [0, D], ["#e00", "#999"] );

We would need C slices.

init({ range: [ [0, 1], [0, 1] ], scale: [180, 25] }); rectchart( [C, D - C], ["#e00", "#999"] );

\dfrac{A}{B} = \dfrac{C}{D} and so the answer is C.

Another way to get the answer is to multiply by \dfrac{M}{M}.

\dfrac{M}{M} = \dfrac{1}{1} = 1 so really we are multiplying by 1.

The final equation is: \dfrac{A}{B} \times \dfrac{M}{M} = \dfrac{C}{D}  so our answer is C.

What number could replace SYMBOL below?

\dfrac{A}{B} = \dfrac{C}{SYMBOL}

D

The fraction on the left represents A out of B slices of a rectangular pizza( 1 ).

init({ range: [ [0, 1], [0, 1] ], scale: [180, 25] }); rectchart( [A, B - A], ["#e00", "#999"] );

How many total slices would we need if we want the same amount of pizza( 1 ) in C slices?

init({ range: [ [0, 1], [0, 1] ], scale: [180, 25] }); rectchart( [C, D - C], ["#e00", "#fff"] );

We would need to cut the pizza( 1 ) into D slices.

init({ range: [ [0, 1], [0, 1] ], scale: [180, 25] }); rectchart( [C, D - C], ["#e00", "#999"] );

\dfrac{A}{B} = \dfrac{C}{D} and so the answer is D.

Another way to get the answer is to multiply by \dfrac{M}{M}.

\dfrac{M}{M} = \dfrac{1}{1} = 1 so really we are multiplying by 1.

The final equation is: \dfrac{A}{B} \times \dfrac{M}{M} = \dfrac{C}{D}  so our answer is D.

1 2 2 A * M B * M "\\otimes"